Question

\sqrt[4]{32} * \frac{ \sqrt{8 * 4} }{ \sqrt{2} } =

Answer 1

$\sqrt[4]{32} \times \frac{ \sqrt{8 \times 4} }{ \sqrt{2} } =\sqrt[4]{2^5}\times\frac{\sqrt{2^3\times2^2}}{\sqrt2}=2^\frac54\times\frac{2^\frac52}{2^\frac12}=2^\frac54\times2^\frac42=2^{\frac54+\frac42}=$ $2^\frac{13}{4}=2^{\frac{12}{4}+\frac14}=2^{3+\frac14}=2^3\times2^\frac14=8\sqrt[4]{2}$